Question

3x6x9x12x15x18x…x2022?

Answer 1

Explicație pas cu pas:

$3 \times 6 \times 9 \times 12 \times 15 \times 18 \times ... \times 2022 =$

$= (1 \times 3) \times (2 \times 3) \times (3 \times 3) \times (4 \times 3) \times (5 \times 3) \times (6 \times 3) \times ... \times (674 \times 3)$

$= {3}^{674} \times (1 \times 2 \times 3 \times ... \times 674)$

$= {3}^{674} \times 674 \ !$

Answer 2

3 x 6 x 9 x 12 x 15 x 18 x … x 2022 =

3x1 x 3x2 x 3x3 x 3x4 x 3x5 x 3x6 x ... x 3x674 =

= 1x2x3x4x5x6x...x674 x 3x3x3x3x...x3 ( de 674 ori ) =

= 674! x 3⁶⁷⁴